representative of the Environmental Protection Agency (EPA) wants to select samplesfrom 10 landfills. The director has 15 landfills from wh

Question

representative of the Environmental Protection Agency (EPA) wants to select samplesfrom 10 landfills. The director has 15 landfills from which she can collect samples.the question is How many different samples are possible?thanks in advance

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Katherine 4 weeks 2021-09-17T10:28:26+00:00 1 Answer 0

Answers ( )

  1. Answer:

    3003 different samples are possible.

    Step-by-step explanation:

    The order that the landfills are chosen is not important. So we use the combinations formula to solve this question.

    Combinations formula:

    C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

    C_{n,x} = \frac{n!}{x!(n-x)!}

    In this problem, we have that:

    10 landfills from a set of 15. So

    C_{15,10} = \frac{15!}{5!10!} = 3003

    3003 different samples are possible.

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45:7+7-4:2-5:5*4+35:2 =? ( )